4.5 Article

n-Person Second-Order Games: A Paradigm Shift in Game Theory

Journal

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
Volume 149, Issue 3, Pages 447-473

Publisher

SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10957-011-9799-1

Keywords

Habitual domains; Games; Coalition formation; Markov chains

Funding

  1. National Science Council, Taiwan [NSC98-2410-H009-008, NSC99-2410-H009-052]

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In this paper, we present a new approach to n-person games based on the Habitual domain theory. Unlike the traditional game theory models, the constructed model captures the fact that the underlying changes in the psychological aspects and mind states of the players over the arriving events are the key factors, which determine the dynamic process of coalition formation. We introduce two new concepts of solution for games: strategically stable mind profile and structurally stable mind profile. The theory introduced in this paper overcomes the dichotomy of non-cooperative/cooperative games, prevailing in the existing game theory, which makes game theory more applicable to real-world game situations.

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